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Categorical actions of generalised braids

De Biase, Lorenzo 2020. Categorical actions of generalised braids. PhD Thesis, Cardiff University.
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Abstract

In [32], Khovanov and Thomas constructed a categorical action of the braid group Brn on the derived category D(T∗Fln) of coherent sheaves on the cotangent bundle of the variety Fln of the complete flags in Cn. In this thesis, we define the generalised braid categoryGBrn, we define the notion of a skein-triangulated representation of GBr3, give a sufficient condition for the existence of a skein-triangulated representation of GBr3 and we construct a skein triangulated representation of GBr3 on D(T∗(Fl3(¯ i)) that generalises the Khovanov and Thomas categorical braid action on D(T∗Fl3).

Item Type: Thesis (PhD)
Date Type: Completion
Status: Unpublished
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Date of First Compliant Deposit: 20 April 2020
Last Modified: 06 Jan 2021 02:25
URI: http://orca.cf.ac.uk/id/eprint/131103

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